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Finding the Third Proportional to 335,424 and 723,360

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Solution

The third proportional to 335,424 and 723,360 is: 1,559,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,424 : 723,360 = 723,360 : x
  2. Step 2: Convert to fraction form
    335,424/723,360 = 723,360/x
  3. Step 3: Cross multiply
    335,424x = 723,360 × 723,360
  4. Step 4: Simplify right side
    335,424x = 523,249,689,600
  5. Step 5: Solve for x
    x = 523,249,689,600/335,424
  6. Step 6: Final answer
    x = 1,559,964.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.